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12122132305 = 531715974789
BaseRepresentation
bin10110100101000100…
…10000111101010001
31011021210221010101011
423102202100331101
5144311231213210
65322511210521
7606253265413
oct132242207521
934253833334
1012122132305
11516069a468
122423816a41
1311b255716a
1482dd309b3
154ae347d8a
hex2d2890f51

12122132305 has 16 divisors (see below), whose sum is σ = 14604633360. Its totient is φ = 9659043072.

The previous prime is 12122132293. The next prime is 12122132329. The reversal of 12122132305 is 50323122121.

It can be written as a sum of positive squares in 8 ways, for example, as 5805220864 + 6316911441 = 76192^2 + 79479^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122132305 - 227 = 11987914577 is a prime.

It is a super-2 number, since 2×121221323052 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2528851 + ... + 2533639.

It is an arithmetic number, because the mean of its divisors is an integer number (912789585).

Almost surely, 212122132305 is an apocalyptic number.

It is an amenable number.

12122132305 is a deficient number, since it is larger than the sum of its proper divisors (2482501055).

12122132305 is a wasteful number, since it uses less digits than its factorization.

12122132305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6708.

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 12122132305 its reverse (50323122121), we get a palindrome (62445254426).

The spelling of 12122132305 in words is "twelve billion, one hundred twenty-two million, one hundred thirty-two thousand, three hundred five".

Divisors: 1 5 317 1585 1597 4789 7985 23945 506249 1518113 2531245 7590565 7648033 38240165 2424426461 12122132305